a manufacturer has a monthly fixed cost of $110,000 and a production cost of $14 for each unit produced. the product sells for $20 per unit.
(a) what is the cost function?
c(x) =
(b) what is the revenue function?
r(x) =
(c) what is the profit function?
p(x) =
(d) compute the profit or loss corresponding to a production level of 12,000 and 23,000 units. (input a negative value to indicate a loss.)
at 12,000 units $
at 23,000 units $

Cost function C(x) == FC + VC*Q

Revenue function R(x) = Px * Q

Profit function P(x) =(Px * Q)-(FC + VC*Q)

P(12000) = -38000 Loss

P(23000) = 28000 profit

Step-by-step explanation:

Total Cost is Fixed cost plus Variable cost multiplied by the produce quantity.  

(a)Cost function

C(x) = FC + vc*Q

Where  

FC=Fixed cost

VC=Variable cost

Q=produce quantity

(b)

Revenue function

R(x) = Px * Q

Where  

Px= Sales Price

Q=produce quantity

(c) Profit function

Profit = Revenue- Total cost

P(x) =(Px * Q)-(FC + vc*Q)

(d) We have to replace in the profit function

at 12,000 units

P(12000) =($20 * 12,000)-($110,000 + $14*12,000)

P(12000) = -38000

at 23,000 units

P(x) =($20 * 23,000)-($110,000 + $14*23,000)

P(23000) = 28000

the answer is b.)

< 1=< 2

a. she will receive a refund of $278.

step-by-step explanation: